查询词典 numerical computation

The advantages and limitations of every kind of methods for calculating the failure probability is reviewed. The frist order reliability method, the second order reliability method and many kinds of boundary method have achieved remarkable success and formed nature fields of reliability. However, the precision of these methods decrease as the increase of complexity of problem. The numrical methods are versatile, except numerical intergration is only adaptable to special problems which have small number variables and regular intergral domain. Particularly, the advanced variance reduction techniques own the following character: high precision and a small amount computation. But some questions remain to study in the future because only an initial work about these techniqes is developed.

全面评述了计算失效概率各种方法的优点和局限性，其中经典的解析法包括一次可靠性方法、二次可靠性方法、一阶边界法、Vanmarcke上边界、PENT上边界和Ditlevsen二阶窄边界法，这些方法对于多设计点、变量较多且相关、密度函数不是正态以及极限状态方程较复杂的情况，其计算精度较差；而已有的数值方法却是具有较好的通用性，其中除数值积分法只对变量较少、积分域较规则的特殊问题适用外，各种数值模拟方法均具有较广的适应性，特别是各种改进的方差减小技术，精度高、计算量小，但由于其处在研究的初级阶段，还有许多问题有待于解决。

Ritz variation method was used to find the numerical relation between the energy near the ground-state of the hydrogen molecular ion H 2 + and the changes of the variation parameter and the bond length,the computation formula of bond length and ground-state energy for H 2 + was also obtained by means of the method of parabolic interpolation .

用Ritz变分法求出了氢分子离子H2 +基态能量附近的能量随变分参数和分子键长变化的数值关系，并用抛物线插值法获得了H2 +键长和基态能量的值及其计算公式，比文献 [1，2 ]更接近于实验值。

Numerical results verify that the new algorithm has the properties of simple implementation, fast convergence, low computation cost and easy parameter selection.

给出了用该算法对天线阵幅度、相位和幅相综合的数值结果，验证了新算法的有效性。

In this dissertation, the numerical method solving the model equation influid motion in some sense has solved some tough problems which traditionalmethods cannot, as in the case of capturing shockwave, enhancing resolution, andspeeding computation. In terms of capturing shockwave and enhancing resolution,this method has proved to be superior to difference method; in terms of speedingcomputation, superior to TVD scheme. Particularly, it is highly effective to solveodd singular solution problems.

本文研究的求解描述流体运动的若干模型方程的数值方法，在一定程度上解决了传统方法在某些方面的难点问题，如在捕捉激波、提高分辨率方面优于差分法，在计算速度方面优于TVD格式，特别是对处理有奇异解的问题很有效。

The primary studying works and characteristics:1 To summarize reinforcing theory of cement mixing pile composite foundation2 To analyze the primary mechanics characters and changing rules of cement mixing pile, based on analysis of test data both indoor and outdoor.3 To discuss siding frictional resistance, ending resistance, ultimate bearing capacity of simple mixing pile and effectiveness factor of grouped piles, loading ratio of soil between piles under cushion cap of grouped piles and stress ratio of pile and soil and so on, and use many computation method and experimentation method to ensure bearing capacity of mixing piles composite foundation.4 To point out and analyze eight sides flaws and problems of the bearing capacity calculation method of mixing pile compositefoundation which ensured by national and normative method/ formula.5 To apply test results of loading tests and a few settlement observation data, use gray theory to predicate ultimate bearing capacity of deep mixing piles, actual example demonstrate engaging between theoretical predicted value and actual value.6 To apply groovy layerwise summation method to discuss entity piles method, double foundation method, equivalent layerwise summation method and consolidation theoretical method and so on, especially by combination of engineering example, use FEM to calculate or discuss the settlement and changing rules of composite foundation.7 To discuss problems of critical length of composite foundation by combination of engineering example and numerical analysis method, and analyze the contrast of critical length between simple pile load and most area load of composite foundation, not only critical length of composite foundation is relative to modulus ratio between piles and soil, but also upside load distribution area of composite foundation.

主要的研究工作与特色为：(1)总结了水泥搅拌桩复合地基的加固原理；(2)在对室内外试验资料进行统计分析的基础上，系统分析了搅拌桩水泥土的主要力学特性及其变化规律；(3)探讨了搅拌单桩的侧摩阻力、端阻力、极限承载力及群桩效率系数、群桩承台下桩间土荷载分担比及桩土应力比等，提出用多种计算方法并结合试验方法来综合确定搅拌桩复合地基的承载力；(4)明确指出和分析了按国家有关规范的方法确定搅拌桩复合地基承载力所存在的八个方面的缺陷与问题；(5)利用过去没有加载至破坏阶段的载荷试验成果和较少的沉降观测数据，尝试了用灰色理论预测深层搅拌桩的极限承载力，实例表明理论预测值与实测值吻合较好；(6)在常规分层总和法的基础上，探讨了复合地基沉降计算的实体墩基法、双层地基法、等效作用分层总和法、固结理论法等，特别是结合工程实例，用有限元数值计算等方法计算和讨论了搅拌桩复合地基的沉降及其变化规律；(7)结合工程实例，用数值分析方法探讨了复合地基临界桩长的问题，指出和分析了单桩荷载下的临界桩长与复合地基大面积荷载下的临界桩长存在很大的差别，复合地基的临界桩长不仅与桩土模量比有关，而且与复合地基上部荷载分布面积有关。

More precisely, we use the spherical coordinates for independent variables in space, and so avoid the approximation of boundary conditions on the surface, which is required, if we use the Descartes coordinates. Next, we use the Descartes coordinates for the components of velocity, which simplifies the actual computation and numerical analysis essentially.

我们所设计的求解Navier-Stokes方程的混合谱格式具有如下的一些特点：首先，我们采用混合坐标方法，即用球面坐标表示空间自变量，而用Descartes坐标表示速度分量。

A variational method with differential forms gives better precision for numerical solution of transport critical problem based on spherical geometry, and its computation seems simple than other approximate methods.

对于球几何问题，讨论了一种基于微分方程的变分形式求解方法，数值计算显示达到了较满意的精度，而且计算过程比起其他近似方法要简单

To improve the simulation accuracy and to make the increment of computation amount the smallest, the quantitative comparison was used to compare the effect of incident direction and difference accuracy on numerical dispersion with the changing of the ratio of horizontal and vertical gird. The results show that the rectangular grid is better than square mesh in suppressing dispersion and can avoid the low computational efficiency caused by high-order difference.

为提高模拟精度，同时又尽可能减少计算量，采用定量分析的方法，对比分析了横纵网格比变化时入射方向和差分精度等因素对数值频散的影响，分析结果表明，矩形网格较之正方形网格能更好地压制频散，同时可以避免高阶差分导致的低计算效率。

FLUENT is selected for the numerical simulation of hydrodynamic in fluidized bed because of the advantage of compute method and stabilization, astringency of computation of this software.

由于目前在硬件方面的限制，利用颗粒轨道模型对流化床进行模拟有很大的难度，而EULERIAN方法则可以以较少的计算花费得到两相各自的流体动力参数，同时也保证了计算的准确性、合理性，取得满意的结果。

In this paper, the maximum likelihood algorithm with process and measurement noise for nonlinear continuous-discrete system given by Jategaonkar and Plaetschke is improved in two aspects: 1 to avoid the disadvantages of sensitivities computation by common finite-difference method, in which the perturbation sizes should be selected optionally, an improved finite-difference method with best perturbations, is presented. 2 to improve the numerical stability of Jategaonkar's algorithm, maximum likelihood algorithm with fast triangular square-root decomposition filter is given.

摘要对Jategaonkar等人给出的同时计及过程及观测噪声的非线性连续-离散系统的极大似然算法从两个方面进行了改进：1给出了计算灵敏度的最佳摄动有限差分算法，避免了普通有限差分法计算灵敏度矩阵时需人为选择参数摄动量大小而带来的缺点；2给出了具有快速三角化平方根滤波的极大似然算法，提高了原算法的数值稳定性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。